calculate the derivative in matlab

To calculate the derivative of a function in MATLAB, you can use the built-in function diff. This function takes the input function as its argument and returns its numerical derivative.

Here's an example:

main.m
% Define a function
syms x
f = x^2 + 2*x + 1;

% Calculate the derivative
dfdx = diff(f)

% Convert symbolic function to MATLAB function
f = matlabFunction(f);
dfdx = matlabFunction(dfdx);

% Evaluate the function and its derivative at x=2
x = 2;
f(x)
dfdx(x)
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The output of this code will be:

main.m
dfdx =
 
2*x + 2

ans =
 
9

ans =
 
6
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This means that at x=2, the function f(x) is equal to 9, and its derivative df/dx is equal to 6.

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